Files
calc/help/epsilon
Landon Curt Noll 81a4a4f828 Improve string and printing documentation
Updated the help files help/config, help/display, help/epsilon,
help/fprint, help/printf, and help/strprintf to give more
examples of how display digits and epsilon precision interact
with displaying values.

Added more information about %g in the help file help/printf.

The '\a' is now recognized in a printf format string as the
single byte audible bell character (byte 0x07 in ASCII encoding).

The following is a partial list of escape sequences recognized
in strings and in printf formats:

    \a      audible bell    byte 0x07 in ASCII encoding
    \b      backspace       byte 0x08 in ASCII encoding
    \f      form feed       byte 0x0c in ASCII encoding
    \n      newline         byte 0x0b in ASCII encoding
    \r      return          byte 0x0a in ASCII encoding
    \t      tab             byte 0x0d in ASCII encoding
    \v      vertical tab    byte 0x09 in ASCII encoding
2018-11-04 17:00:15 -08:00

101 lines
3.2 KiB
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NAME
epsilon - set or read the stored epsilon value
SYNOPSIS
epsilon([eps])
TYPES
eps real number greater than 0 and less than 1
return real number greater than 0 and less than 1
DESCRIPTION
Without args, epsilon() returns the current epsilon value.
With one arg, epsilon(eps) returns the current epsilon value
and sets the stored epsilon value to eps.
The stored epsilon value is used as default value for eps in
many functions such as appr(x, eps, rnd), sqrt(x, eps, rnd),
pi(eps), sin(x, eps), tanh(x, eps), etc.
EXAMPLE
; epsilon(1e-20),;
; oldeps = epsilon(1e-6)
; print epsilon(), sqrt(2), epsilon(1e-4), sqrt(2), epsilon(oldeps)
; .000001 1.414214 .000001 1.4142 .0001
; /*
* NOTE: When displaying many digits after the decimal point
* be sure to set display(digits) (see 'help display') to
* large enough AND to set epsilon(eps) (see 'help epsilon')
* small enough (or if the function has a esp argument,
* give a eps argument that is small enough) to display
* the value correctly.
*/
; config("tilde", 1),;
; /* NOTE: display has too few digits and epsilon is not small enough */
; display(12),;
; printf("%f\n", pi(1e-10));
3.1415926536
; epsilon(1e-10),;
; printf("%f\n", pi());
3.1415926536
; /* NOTE: display has too few digits yet epsilon is small enough */
; display(12),;
; printf("%f\n", pi(1e-72));
~3.141592653590
; epsilon(1e-72),;
; printf("%f\n", pi());
~3.141592653590
; /* NOTE: display has enough digits but epsilon is not small enough */
; display(72),;
; printf("%f\n", pi(1e-10));
3.1415926536
; epsilon(1e-10),;
; printf("%f\n", pi());
3.1415926536
/* NOTE: display has enough digits and epsilon is small enough */
; display(72),;
; printf("%f\n", pi(1e-72));
3.141592653589793238462643383279502884197169399375105820974944592307816406
; epsilon(1e-72),;
; printf("%f\n", pi());
3.141592653589793238462643383279502884197169399375105820974944592307816406
LIMITS
none
LINK LIBRARY
void setepsilon(NUMBER *eps)
NUMBER *_epsilon_
SEE ALSO
config, display, fprintf, printf, strprintf
## Copyright (C) 1999,2018 Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
## the terms of the version 2.1 of the GNU Lesser General Public License
## as published by the Free Software Foundation.
##
## Calc is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
## or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
## Public License for more details.
##
## A copy of version 2.1 of the GNU Lesser General Public License is
## distributed with calc under the filename COPYING-LGPL. You should have
## received a copy with calc; if not, write to Free Software Foundation, Inc.
## 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
##
## Under source code control: 1995/10/05 04:52:26
## File existed as early as: 1995
##
## chongo <was here> /\oo/\ http://www.isthe.com/chongo/
## Share and enjoy! :-) http://www.isthe.com/chongo/tech/comp/calc/